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Finding the Fourth Proportional to 438,806, 658,209 and 106,382

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Solution

The fourth proportional to 438,806, 658,209 and 106,382 is: 159,573

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,806 : 658,209 = 106,382 : x
  2. Step 2: Convert to fraction form
    438,806/658,209 = 106,382/x
  3. Step 3: Cross multiply
    438,806x = 658,209 × 106,382
  4. Step 4: Simplify right side
    438,806x = 70,021,589,838
  5. Step 5: Solve for x
    x = 70,021,589,838/438,806
  6. Step 6: Final answer
    x = 159,573

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.